Perpendicular to the line y=1/2x+3 and passes through (3,-4)

Answer 1

-4 = -2(3) + b

b = -4 +6 = 2

y =-2x +2 is the perpendicular line through (3,-4). Perpendicular lines have negative inverse slopes

negative inverse of 1/2 is -2/1 = -2

general equation is y=mx+b Here, m=-2, b= y intercept=2, found by plugging in the point (3,-4)